document.write( "Question 33632: Solve by completing the square:
\n" ); document.write( "x^2+8x+13=0 \n" ); document.write( "

Algebra.Com's Answer #20028 by Earlsdon(6294) $\"\"$ $\"About$

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Solve by completing the square:
\n" ); document.write( " $\"x%5E2%2B8x%2B13+=+0\"$ First subtract 13 from both sides of the equation.
\n" ); document.write( " $\"x%5E2%2B8x+=+-13\"$ Now complete the square in the x-terms by adding the square of half the x-coefficient $\"%288%2F2%29%5E2+=+16\"$ to both sides.
\n" ); document.write( " $\"x%5E2%2B8x%2B16+=+16-13\"$ Factor the left side.
\n" ); document.write( " $\"%28x%2B4%29%5E2+=+3\"$ Take the square root of both sides.
\n" ); document.write( " $\"x%2B4\"$ = + or - $\"sqrt%283%29\"$ Finally, subtract 4 from both sides.\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+-4%2B-sqrt%283%29\"$ \n" ); document.write( "

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